Question: Q4a Please provide full solution and show all steps a) Z - transform is mainly used for analysis of discrete signal and discrete LTI system.

LTI system. Prove the equation below: 1 or u(n) : 1-0 2

Q4a Please provide full solution and show all steps

1 for =] > lol [3 marks] ii) Determine the inverse z-transform

for equation below: 4 - XO= 1 - [10 marks]APPENDIX 2 TABLE

a) Z - transform is mainly used for analysis of discrete signal and discrete LTI system. Prove the equation below: 1 or u(n) : 1-0 2 1 for =] > lol [3 marks] ii) Determine the inverse z-transform for equation below: 4 - XO= 1 - [10 marks]APPENDIX 2 TABLE 2: Z-TRANSFORM PAIRS Signal Transform ROC 1. 6 [n] All z 2. u[n] 1- 7-1 3. - u[-n - 1] z 0) or co (if m 1 10. [sin won]u[n] [sin wolz ' 1 - [2 cos wo]z 1 + z-2 z >1 11. [r" coswon]u[n] 1 - [rcos wolz-' 1 - [2r cos wo]z ) + riz-2 z >r 12. [r" sin won]u[n] [rsin wolz-' 1 - [2/coswolz | + riz-1APPENDIX 3 TABLE 3: SYSTEM FUNCTION FOR SEVERAL FILTER ORDER WHEN Qc=1. N H (s) 1 H 5+1 N $2 + 1.4142s + 1 1 LAJ (s + 1)(s2 + s+ 1) 1 4 ($2 + 0.7654s + 1)(s2 + 1.8478s + 1)

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